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vipulgoyal
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Is x+1 a factor of 12?
1. x+1 is even
2. x+1 is a factor of 2 and 3
Please explain your answer
(1) x+1 is even --> clearly insufficient, x+1 could be 2 or 30.
(2) x+1 is a factor of 2 and 3
My query is even though A is not sufficent for ans, still it should holds true for solution, I mean X+1 must be even though it cant solely give ans, " which solution contradicts" given below
[spoiler]--> 2 and 3 are consecutive integers, consecutive integers are co-prime, which means that they do not share ANY common factor but 1 (for example 5 and 6, two consecutive integers share only one common factor: 1). So as x+1 is a factor of BOTH 2 and 3 then x+1=1 and 1 is a factor of 12. Sufficient.
Answer: B[/spoiler]
1. x+1 is even
2. x+1 is a factor of 2 and 3
Please explain your answer
(1) x+1 is even --> clearly insufficient, x+1 could be 2 or 30.
(2) x+1 is a factor of 2 and 3
My query is even though A is not sufficent for ans, still it should holds true for solution, I mean X+1 must be even though it cant solely give ans, " which solution contradicts" given below
[spoiler]--> 2 and 3 are consecutive integers, consecutive integers are co-prime, which means that they do not share ANY common factor but 1 (for example 5 and 6, two consecutive integers share only one common factor: 1). So as x+1 is a factor of BOTH 2 and 3 then x+1=1 and 1 is a factor of 12. Sufficient.
Answer: B[/spoiler]
